limx趋向0(2x-1/3x-1)的x/1次方的极限

问题描述:

limx趋向0(2x-1/3x-1)的x/1次方的极限

lim(x->0) [(2x-1)/(3x-1)]^(1/x)
=lim(x->0) {[1+ (-x)/(3x-1)]^[(3x-1)/(-x)]}^[-1/(3x-1)]
= e^[(-1)/(-1)]
= e